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Finding the Fourth Proportional to 81,793.44, 122,677.92 and 25,620.48

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Solution

The fourth proportional to 81,793.44, 122,677.92 and 25,620.48 is: 38,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793.44 : 122,677.92 = 25,620.48 : x
  2. Step 2: Convert to fraction form
    81,793.44/122,677.92 = 25,620.48/x
  3. Step 3: Cross multiply
    81,793.44x = 122,677.92 × 25,620.48
  4. Step 4: Simplify right side
    81,793.44x = 3,143,067,195.80
  5. Step 5: Solve for x
    x = 3,143,067,195.80/81,793.44
  6. Step 6: Final answer
    x = 38,426.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.